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At a Bengaluru junction, the timeline shows when Light P and Light Q turn green; both turned green together at 8:00 am and keep the same gaps. How many MORE times will they turn green together after 8:00 am, up to and including 8:30 am?

Class 6HCF and LCMPlaying with Numbers
  • A5
  • B4
  • C6
  • D20

Step-by-Step Solution

Read the gaps: P every 90 s, Q every 120 s. Together every LCM s min: at 8:06, 8:12, 8:18, 8:24, 8:30, so 5 times. (20 is , the greens of P alone.)
Answer: A) 5

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